Of course, Jeremy.
Whatever I see, it's my decision what to photograph and how to do it. In a way I think that everything we do are self-portraits, since it's always an interpretation. Whether we interpret "found scenes" - landscape etc. - or constructs built for the purpose, the element of interpretation is always there. But it's a lot easier (as well as more fun) with an open mind.
I find that photos I have taken when consciously thinking of composition are invariably dull. But every once in a while I'm surprised to find elements of classic composition in pictures I have taken just because I liked what I saw. And those are the pictures worth taking!